Data Sufficiency Previous Year Questions (CAT) - Set 0002


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    Previous years`s CAT questions: Data Sufficiency

    Post your solutions as reply to respective questions below.


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    Question 1

    (1) question can be answered from statement A alone but not by using the statement B alone.
    (2) question can be answered from statement B alone but not by using the statement A alone.
    (3) question can be answered by using either of the statements alone.
    (4) question can be answered by using both the statements but not by either of the statements alone.
    (5) question cannot be answered on the basis of the two statements.

    Tarak is standing 2 steps to the left of a red mark and 3 steps to the right of a blue mark. He tosses a coin. If it comes up heads, he moves one step to the right; otherwise he moves one step to the left. He keeps doing this until he reaches one of the two marks, and then he stops. At which mark does he stop?  

    A. He stops after 21 coin tosses.

    B. He obtains three more tails than heads.  (CAT 2004)


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    Question 2

    (1) question can be answered from statement A alone but not by using the statement B alone.
    (2) question can be answered from statement B alone but not by using the statement A alone.
    (3) question can be answered by using either of the statements alone.
    (4) question can be answered by using both the statements but not by either of the statements alone.
    (5) question cannot be answered on the basis of the two statements.

    Nandini paid for an article using currency notes of denominations Re. l, Rs. 2, Rs. 5, and Rs. 10 using at least one note of each denomination. The total number of five and ten rupee notes used was one more than the total number of one and two rupee notes used. What was the price of the article?

    A. Nandini used a total of 13 currency notes.

    B. The price of the article was a multiple of Rs. 10.     (CAT 2004)


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    Question 3

    (1) question can be answered from statement A alone but not by using the statement B alone.
    (2) question can be answered from statement B alone but not by using the statement A alone.
    (3) question can be answered by using either of the statements alone.
    (4) question can be answered by using both the statements but not by either of the statements alone.
    (5) question cannot be answered on the basis of the two statements.

    Four candidates for an award obtain distinct scores in a test. Each of the four casts a vote to choose the winner of the award. The candidate who gets the largest number of votes wins the award. In case of a tie in the voting process, the candidate with the highest score wins the award. Who wins the award?

    A. The candidates with the top three scores each vote for the top scorer amongst the other three.

    B. The candidate with the lowest score votes for the player with the second highest score.

    (CAT 2004)


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    Question 4

    (1) question can be answered from statement A alone but not by using the statement B alone.
    (2) question can be answered from statement B alone but not by using the statement A alone.
    (3) question can be answered by using either of the statements alone.
    (4) question can be answered by using both the statements but not by either of the statements alone.
    (5) question cannot be answered on the basis of the two statements.

    In a class of 30 students, Rashmi secured the third rank among the girls, while her brother Kumar studying in the same class secured the sixth rank in the whole class. Between the two, who had a better overall rank? 

    A. Kumar was among the top 25% of the boys merit list in the class in which 60% were boys.

    B. There were three boys among the top five rank holders and three girls among the top ten rank holders.  (CAT 2004)


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    Question 5

    (1) question can be answered from statement A alone but not by using the statement B alone.
    (2) question can be answered from statement B alone but not by using the statement A alone.
    (3) question can be answered by using either of the statements alone.
    (4) question can be answered by using both the statements but not by either of the statements alone.
    (5) question cannot be answered on the basis of the two statements.

    Zakib spends 30% of his income on his children’s education, 20% on recreation and 10% on healthcare. The corresponding percentages for Supriyo are 40%, 25%, and 13%. Who spends more on children’s education?

    A. Zakib spends more on recreation than Supriyo.

    B. Supriyo spends more on healthcare than Zakib.  (CAT 2004)


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    Question 6

    (1) question can be answered from statement A alone but not by using the statement B alone.
    (2) question can be answered from statement B alone but not by using the statement A alone.
    (3) question can be answered by using either of the statements alone.
    (4) question can be answered by using both the statements but not by either of the statements alone.
    (5) question cannot be answered on the basis of the two statements.

    In a cricket match, the ‘man of the match’ award is given to the player scoring the highest number of runs. In case of a tie, the player (out of those locked in the tie) who has taken the higher number of catches is chosen. Even thereafter if there is a tie, the player (out of those locked in the tie) who has dropped fewer catches is selected. Aakash, Biplab and Chirag who were contenders for the award dropped at least one catch each. Biplab dropped 2 catches more than Aakash did, scored 50, and took 2 catches. Chirag got two chances to catch and dropped both. Who was the ‘man of the match’? 

    A. Chirag made 15 runs less than both Aakash and Biplab.

    B. The catches dropped by Biplab are 1 more than the catches taken by Aakash.

    (CAT 2003 Retest)


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    Answer: Option 4


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    Question 7

    (1) question can be answered from statement A alone but not by using the statement B alone.
    (2) question can be answered from statement B alone but not by using the statement A alone.
    (3) question can be answered by using either of the statements alone.
    (4) question can be answered by using both the statements but not by either of the statements alone.
    (5) question cannot be answered on the basis of the two statements.

    Four friends, A, B, C and D got the top four ranks in a competitive examination, but A did not get the first, B did not get the second, C did not get the third, and D did not get the fourth rank. Who secured which rank?  

    A. Neither A nor D were among the first 2.

    B. Neither B nor C was third or fourth.  (CAT 2003 Retest)


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    Answer: Option 3


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    Question 8

    (1) question can be answered from statement A alone but not by using the statement B alone.
    (2) question can be answered from statement B alone but not by using the statement A alone.
    (3) question can be answered by using either of the statements alone.
    (4) question can be answered by using both the statements but not by either of the statements alone.
    (5) question cannot be answered on the basis of the two statements.

    The members of a local club contributed equally to pay Rs.600 towards a donation. How much did each one pay?  

    A. If there had been five fewer members; each one would have paid an additional Rs.10.

    B. There were at least 20 members in the club and each one paid no more than Rs.30.

    (CAT 2003 Retest)


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    Answer: Option 1


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    Question 9

    (1) question can be answered from statement A alone but not by using the statement B alone.
    (2) question can be answered from statement B alone but not by using the statement A alone.
    (3) question can be answered by using either of the statements alone.
    (4) question can be answered by using both the statements but not by either of the statements alone.
    (5) question cannot be answered on the basis of the two statements.

    A family has only one kid. The father says “after ‘n’ years, my age will be 4 times the age of my kid.” The mother says “after ‘n’ years, my age will be 3 times that of my kid.” What will be the combined ages of the parents after ‘n’ years?  

    A. The age difference between the parents is 10 years.

    B. After ‘n’ years, the kid is going to be twice as old as she is now.   (CAT 2003 Retest)


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    Answer: Option 1


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    Question 10

    (1) question can be answered from statement A alone but not by using the statement B alone.
    (2) question can be answered from statement B alone but not by using the statement A alone.
    (3) question can be answered by using either of the statements alone.
    (4) question can be answered by using both the statements but not by either of the statements alone.
    (5) question cannot be answered on the basis of the two statements.

    F and M are father and mother of S, respectively. S has four uncles and three aunts. F has two siblings. The siblings of F and M are unmarried. How many brothers does M have?

    A. F has two brothers.

    B. M has five siblings.  (CAT 2003 Leaked)


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    Answer: Option 1


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